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6834538620 = 22345721337179
BaseRepresentation
bin1100101110101111…
…01100100001111100
3122122022101112110000
412113113230201330
5102444120213440
63050103514300
7331236422400
oct62727544174
918568345400
106834538620
112997a12028
1213a8a58990
1384bc526c0
1448b9a9100
152a0033730
hex1975ec87c

6834538620 has 720 divisors, whose sum is σ = 27739182240. Its totient is φ = 1395201024.

The previous prime is 6834538609. The next prime is 6834538639. The reversal of 6834538620 is 268354386.

It is a happy number.

6834538620 is a `hidden beast` number, since 68 + 34 + 538 + 6 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38181691 + ... + 38181869.

It is an arithmetic number, because the mean of its divisors is an integer number (38526642).

Almost surely, 26834538620 is an apocalyptic number.

6834538620 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834538620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869591120).

6834538620 is an abundant number, since it is smaller than the sum of its proper divisors (20904643620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6834538620 is a wasteful number, since it uses less digits than its factorization.

6834538620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6834538620 is about 82671.2684068655. The cubic root of 6834538620 is about 1897.7386411102.

The spelling of 6834538620 in words is "six billion, eight hundred thirty-four million, five hundred thirty-eight thousand, six hundred twenty".